Thaxton was a creationist at heart. ID may not name a god, but it was a Christian construct, created to attract other Christians as an convenient out. It was simply an evolution of creationism (pardon the pun). It's flawed though, because just like creationism, it will soon run into a wall of science. We're on the verge of replicating how proteins and cell walls were created naturally. Things ID claimed to be too complex to be natural selection.
While I agree in principal that it doesn't say god, and does not eliminate the otherworldly alien connection, the majority of Christians would indeed reject the notion. I know the Baptist and JW on my mother's side sure as heck reject it. And the majority of the Catholics on my father's side reject it. If aliens came down and said, "hey we pulled a Prometheus on you", the next Christian would say well God had to create you, because you're so complex and didn't occur naturally.
I believe in God, and I guess you could say I have a view similar in ways to IDs... but mine is not built on notions that will run into walls of science. I'm simply content to have faith, while believing Genesis was simply a book chosen by men in an attempt to instill wisdom. I mean the origin of the the book is still debated, but at least it's not directly credited to Moses anymore. In short, I believe in God, but i also believe we should accept things on faith without feeling the need to understand, or explain. I love STA, but I don't need the 5 Proofs either. The Church (men in the Church) have made a career of trying to create, explain, and defend a narrative. So much so, that it became more important than the core concepts themselves.
Anyway, tangent alert... back to Aliens. Aliens, or even men replicating life "naturally", shakes the foundation of ID, and creates a new pivot. Aliens simply coming down and saying hey, we've watched the earth over the last 5B years and witnessed your evolution from CH and C 4B years ago, to your uber primitive selves today. It was a wonderful but boring story... Now all of sudden CH and C which are accidentally/naturally created by by stars is the origin of life... How many Christians and other religions would say "hey, thanks. that makes sense. we had it all wrong" lol. Pivot again!